Average Error: 3.4 → 3.4
Time: 16.4s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[\left(1 - y \cdot z\right) \cdot x\]
x \cdot \left(1 - y \cdot z\right)
↓
\left(1 - y \cdot z\right) \cdot x
double f(double x, double y, double z) {
        double r13542624 = x;
        double r13542625 = 1.0;
        double r13542626 = y;
        double r13542627 = z;
        double r13542628 = r13542626 * r13542627;
        double r13542629 = r13542625 - r13542628;
        double r13542630 = r13542624 * r13542629;
        return r13542630;
}
↓
double f(double x, double y, double z) {
        double r13542631 = 1.0;
        double r13542632 = y;
        double r13542633 = z;
        double r13542634 = r13542632 * r13542633;
        double r13542635 = r13542631 - r13542634;
        double r13542636 = x;
        double r13542637 = r13542635 * r13542636;
        return r13542637;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.4

    \[x \cdot \left(1 - y \cdot z\right)\]

  2. Final simplification3.4

    \[\leadsto \left(1 - y \cdot z\right) \cdot x\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  (* x (- 1.0 (* y z))))